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Q:

# The sum of the squares of three consecutive even numbers is 251. The numbers are?

Q:

A person in a bet 40 shots taken. 50p for a hit, 10p for a miss.(he have to give). Finally he has Rs.5. How many hits he have ?

 A) 15 B) 20 C) 25 D) 30

Explanation:

Let number of hit shots be 'X'
Let number of miss shots be 'Y'
Given X + Y = 40....(1)
50X - 10Y = 500.....(2)
Solving 1 and 2, we get
X = 15 and Y = 25
Therefore, number of hits = 15

1 21
Q:

Srinivas bought 10 cycles for Rs. 1,750 each. He sold 4 cycles for Rs 8,400, 3 for Rs 1900 each . At what price should he sell the remaining cycles so as to earn an average profit of Rs 320 per cycle ?

 A) Rs. 1580 B) Rs. 2200 C) Rs. 1785 D) Rs. 1950

Explanation:

He sold 4 cycles for Rs. 8400
[It means each cycle price is Rs. 2100]
And again he sold 3 cycles for Rs. 1900 each
If he want to gain avg profit on each cycle is Rs. 320 per cycle.
So profit for 10 cycles is @ Rs.320 is,
10 x 320 = Rs. 3200
He already got Rs. 1850 profit by selling 7 cycles.
Now, remaining amount is 3200 - 1850 = 1350
So from remaining 3 cycles we want to get Rs. 1350 profit ,
1350/3 = 450
so he must sell remaining 3 cycles at Rs. 2200 each one.

2 55
Q:

A person walking 6/7 of his usual rate is 30 minutes late. What is his usual time ?

 A) 2 hrs 50 min B) 3 hrs 25 min C) 3 hrs D) 2 hrs 5 min

Explanation:

Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.
Balance by the distance,
1 x t = (6/7)(t + 30)
7t = 6(t + 30)
we get t as,
t = 180 minutes = 3 hrs.

1 54
Q:

The sum of one-half, one-third and one-fourth of a number exceeds the number by 22. The number is

 A) 264 B) 284 C) 215 D) 302

Explanation:

Let the number be 'x'. Then, from given data

x/2 + x/3 + x/4 = x+22
13x/12 = x+22
x = 264

3 81
Q:

There are 15 lines in plane. How many intersections (Maximum) can be made ?

 A) 55 B) 105 C) 215 D) 148